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Finding the Fourth Proportional to 134,782.80, 202,392.90 and 75,733.80

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Solution

The fourth proportional to 134,782.80, 202,392.90 and 75,733.80 is: 113,723.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,782.80 : 202,392.90 = 75,733.80 : x
  2. Step 2: Convert to fraction form
    134,782.80/202,392.90 = 75,733.80/x
  3. Step 3: Cross multiply
    134,782.80x = 202,392.90 × 75,733.80
  4. Step 4: Simplify right side
    134,782.80x = 15,327,983,410.02
  5. Step 5: Solve for x
    x = 15,327,983,410.02/134,782.80
  6. Step 6: Final answer
    x = 113,723.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.